Cole Lane
06/04/2024 · Elementary School

Solve the compound inequality. \( 5

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

To solve the compound inequality \( 5 < x - 19 < 11 \), we can break it down into two separate inequalities: 1. \( 5 < x - 19 \) 2. \( x - 19 < 11 \) Let's solve each inequality step by step. ### Solving the first inequality: 1. \( 5 < x - 19 \) 2. Add 19 to both sides: \[ 5 + 19 < x \] \[ 24 < x \] This can be rewritten as: \[ x > 24 \] ### Solving the second inequality: 1. \( x - 19 < 11 \) 2. Add 19 to both sides: \[ x < 11 + 19 \] \[ x < 30 \] ### Combining the results: Now we combine the two results: \[ 24 < x < 30 \] ### Writing in interval notation: The solution in interval notation is: \[ (24, 30) \] Thus, the solution set is \( (24, 30) \).

Quick Answer

The solution set is \( (24, 30) \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions